Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22.D4 and Q=C2

Direct product G=NxQ with N=C22.D4 and Q=C2
dρLabelID
C2xC22.D432C2xC2^2.D464,205

Semidirect products G=N:Q with N=C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.D4:1C2 = C23.7D4φ: C2/C1 → C2 ⊆ Out C22.D4164C2^2.D4:1C264,139
C22.D4:2C2 = C23:3D4φ: C2/C1 → C2 ⊆ Out C22.D416C2^2.D4:2C264,215
C22.D4:3C2 = C23.38C23φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:3C264,217
C22.D4:4C2 = C22.32C24φ: C2/C1 → C2 ⊆ Out C22.D416C2^2.D4:4C264,219
C22.D4:5C2 = C22.33C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:5C264,220
C22.D4:6C2 = C22.34C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:6C264,221
C22.D4:7C2 = C22.36C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:7C264,223
C22.D4:8C2 = D4:5D4φ: C2/C1 → C2 ⊆ Out C22.D416C2^2.D4:8C264,227
C22.D4:9C2 = D4:6D4φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:9C264,228
C22.D4:10C2 = C22.45C24φ: C2/C1 → C2 ⊆ Out C22.D416C2^2.D4:10C264,232
C22.D4:11C2 = C22.47C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:11C264,234
C22.D4:12C2 = C22.53C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:12C264,240
C22.D4:13C2 = C22.54C24φ: C2/C1 → C2 ⊆ Out C22.D416C2^2.D4:13C264,241
C22.D4:14C2 = C22.56C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4:14C264,243
C22.D4:15C2 = C22.19C24φ: trivial image16C2^2.D4:15C264,206
C22.D4:16C2 = C23.36C23φ: trivial image32C2^2.D4:16C264,210

Non-split extensions G=N.Q with N=C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.D4.1C2 = C23.D4φ: C2/C1 → C2 ⊆ Out C22.D4164C2^2.D4.1C264,33
C22.D4.2C2 = C22.46C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4.2C264,233
C22.D4.3C2 = C22.57C24φ: C2/C1 → C2 ⊆ Out C22.D432C2^2.D4.3C264,244

׿
x
:
Z
F
o
wr
Q
<